Does anyone know a term, in English, that describes the process through which a believer turns into a non-believer?

The term I've seen used is apostatization. The term "apostasy" has the usual pejorative meaning that is used about those who betray the tribe by leaving it and the technical non-judgmental meaning used by scientists.

When talking about their own experience Christians and ex-Christians often themselves talk about for example losing faith, waking up (to reality) and so on but this applies to both converting into it and leaving it.

@YONG,
when you say believer, it includes believers of every "stuffs" out there, including science believers too,

idk if it is possible to not believe anything, because the moment you don't believe anything, you are actually believing something, which is to believe nothing, and it sets the loop on,

Everyone has a hierarchy of beliefs and values. If someone would tell me that he doesn't believe in literally anything there is no way I'd take him seriously. After all he believed it to be both possible and worth the effort to tell me that and that by itself already tells something about what they implicitly believe in.

It used to be trendy among atheists to say to Christians that “I contend we are both atheists, I just believe in one fewer god than you do. When you understand why you dismiss all the other possible gods, you will understand why I dismiss yours.”

In a similar way those skeptics, who don't have faith in humanity, progress, science and technology almighty, tell other skeptics that "I contend we are both skeptics, I just hold one less ideology than you do. When you understand why you dismiss all other ideologies, you will understand why I dismiss yours."

It seems people have assumed this topic is about religion. While that is a good example of beliefs, I think it misses the point that other beliefs can also be held without there being a religion involved. In a recently revived topic other types of beliefs also exist.

Sometimes beliefs match reality (or at least reality as we can perceive it). Sometimes beliefs are completely wacky. But all such beliefs can be reconciled against reality with good practices and proper scientific methodologies if the believer is willing to apply them.

I haven't seen it used though, the adjective form "unbelievable" seems to be more common.

"Unbelieve" means "reject from belief", which seems to lack the conversion process.

Oh so you where looking for the name of the process.
Now I am wondering... whats the name of the process from which a non-believer becomes a believer?
without the religious connotation.

But now that I think more about it, if someone becomes a non-believer on X, he probably becomes a believer in Y, Z or a "believer in no X"
So my point is, wouldn't you be just switching believes? And so the term which applies for the process of becoming a believer should apply on becoming a non-believer.

And following this trail of thoughts, to become a believer in something you have to gain the knowledge/wisdom/experience which we could call "learning".
When you learn to believe you become a believer.
By forgetting or unlearning you would become a non believer. Forgetting is just erasing the memory/knowledge. While unlearning is just learning with a negative connotation.
One could have a bad habbit which needs unlearning, which would be learning to not perform the habbit.

@Enko: I don't think "unbelieving" means forgetting or erasing the memory. It's not like someone who becomes an atheist suddenly forgets/erases information about religion from his memory, on the contrary he has to know about it else he might become a believer again since he wouldn't even know why he erased it in the first place.

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